connections. (a) Someone in the class is helped by everyone in the class. (b) There is a hard working student in the class who has not been helped by any student in class. (c) For everyone in the class, someone who is smart has helped him/her. (d) There are two people in the class who have not helped each other. (e) There is a hard working student in the class who is helped by every smart student in class.
connections. (a) Someone in the class is helped by everyone in the class. (b) There is a hard working student in the class who has not been helped by any student in class. (c) For everyone in the class, someone who is smart has helped him/her. (d) There are two people in the class who have not helped each other. (e) There is a hard working student in the class who is helped by every smart student in class.
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
Related questions
Question
Transcribed Image Text:3. Express the following English sentences using propositional functions, quantifiers and logical
connections.
(a) Someone in the class is helped by everyone in the class.
(b) There is a hard working student in the class who has not been helped by any student in
class.
(c) For everyone in the class, someone who is smart has helped him/her.
SO
(d) There are two people in the class who have not helped each other.
(e) There is a hard working student in the class who is helped by every smart student in class.
(f) There are some companies that hire only hard working students.
Expert Solution
Step 1
As per the answering guidelines, solving the first 3 sub question
A.
Let the predicate be
H(x, y) : x is helped by y
Here since the statement holds true for some student, we need to use existential quantifier for x.
The FOL is
∃x∀y(H(x,y))
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